4656288000 has 864 divisors, whose sum is σ = 19606309632. Its totient is φ = 958464000.

The previous prime is 4656287939. The next prime is 4656288011. The reversal of 4656288000 is 8826564.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4656288000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113567980 + ... + 113568020.

It is an arithmetic number, because the mean of its divisors is an integer number (22692488).

Almost surely, 2^4656288000 is an apocalyptic number.

4656288000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9803154816).

4656288000 is an abundant number, since it is smaller than the sum of its proper divisors (14950021632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4656288000 is a wasteful number, since it uses less digits than its factorization.

4656288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4656288000 is about 68236.9987616689. The cubic root of 4656288000 is about 1669.8595505008.

The spelling of 4656288000 in words is "four billion, six hundred fifty-six million, two hundred eighty-eight thousand".